A function that is a single polynomial will have a domain of all real numbers. For the polynomial function you specified, you must compute the absolute minimum of the function in order to determine the range. The absolute minimum will be the smaller of the two local minima.

A function that is a single polynomial will have a domain of all real numbers. For the polynomial function you specified, you must compute the absolute minimum of the function in order to determine the range. The absolute minimum will be the smaller of the two local minima.

The Abs. Min. Is at 2,-8 and -2,-8... But There Is A Max. Does That Affect the Range?

Domain Of The Graph Would Be -infinity, infinity.... but i just dont see it...

same with x^3. the domain and range is all real numbers... i just get confused

how are you confused?

no matter what x-values you plug in, the function works. you cover all x-values and so the domain is all real numbers. as for x^3, the function is continuous. one end goes to infinity, the other goes to minus infinity. you cover all y-values. so the domain is all real numbers.

Range can be tricky. Remember that for polynomials with real coefficients and odd degree, the range is all real numbers. For polynomials of even degree, you have to find the absolute minimum if the coefficient of the highest power of x is positive, or the absolute maximum if the coefficient of the highest power of x is negative.

Range can be tricky. Remember that for polynomials with real coefficients and odd degree, the range is all real numbers. For polynomials of even degree, you have to find the absolute minimum if the coefficient of the highest power of x is positive, or the absolute maximum if the coefficient of the highest power of x is negative.

OH!

So Odd=All Real.
Even: You Have to find out the Abs. Min/Max, And The Y-value For That Point.

Example: X^2. [0, Infinity)
if the Vertex Moves From The Point, the range moves as well?